Properties of Exponents
Exponential Functions
Graphing Exponential Functions
Exponential Growth and Decay
Multiplier & Rates & Situation
100
Simplify
c^18/c^6
What is
c^12
?
100
This is what the "a" and "b" values are in
a(b)^x
What is the y-intercept (starting value) and constant multiplier (pattern)?
100
Sketch a graph of exponential growth. What is special about the multiplier when it’s growth?
What is 
100
A savings account earns 4% interest per year. If Josiah puts 500 dollars in now, how much will he have after 5 years
$608.33
100
Write 4.5% as decimal
0.045
200
Simplify
(28n^9)^0
What is
1
?
200
This is the formula for exponential functions.
What is
a(b)^x
?
200
The graph of an exponential function will always cross the x - axis. True or false, explain your answer.
What is false.
200
The population of a small town is decreasing at a rate of 2% per year. In 1970 the population was 25,000. Approximately, what was the population in the year 2020?
9104
200
If an investment grew by an interest rate of 3.6%
what is the multiplier?
1.036?
300
Simplify
-5x^-3
What is
-5/x^3
300
These ordered pairs represent an exponential function; (-1, .5),(0,3),(1,18),(2,108). True or false, explain your answer.
What is true there is a constant multiplier (6).
300
Graph
y = 2^x
300
The number of students in the book club is increasing at a rate of 15% per year and they started with 9 students. How many students would they have after 7 years?
~24 students
300
Given
y = $5000(1.015)^(x)
What is the interest rate?
1.5% interest rate
400
Simplify
(-3us^8d^2)^4
What is
81u^4s^32d^8
400
This is the answer when f(x) = 10(5)^x is evaluated for f(3).
What is 1250?
400
Graph
y = 14(1/2)^x
400
Element Fluorine-20 has a half-life of 11 seconds. What is the amount of fluorine-20 left from a 50 gram sample after 44 seconds.
* Think about the pattern*
3.125 grams
400
Given
y = $5000(0.78)^x
What is the percent change?
A DECREASE of 22%
500
Simplify
(20q^5p^-1)/(5q^3p^8)
(4q^2)/p^9
500
The graph of an exponential function, V, passes through the points (0, 2) and (3, 128) as shown on the graph below. Write an equation for the function V(x).
What is
V(x) = 2(4)^x
500
Find the equation that models the following table.
What is
y = 3(2)^x
500
x y Write an equation for the table
0 400
1 50
2 6.25
3 0.78
y = 400(1/8)^x
500
Given: y = $5000(1.07)^x
How much money will the total be after doing the pattern 8 times?
$ 8590.93